Circuit Implementation of a Modified Chaotic System with Hyperbolic Sine Nonlinearities Using Bi-Color LED
In this paper, a chaotic three dimansional dynamical system is proposed, that is a modification of the system in Volos et al. (2017). The new system has two hyperbolic sine nonlinear terms, as opposed to the original system that only included one, in order to optimize system’s chaotic behavior, whic...
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| Format: | Article |
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MDPI AG
2021-02-01
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| Series: | Technologies |
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| Online Access: | https://www.mdpi.com/2227-7080/9/1/15 |
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| author | Christos K. Volos Lazaros Moysis George D. Roumelas Aggelos Giakoumis Hector E. Nistazakis George S. Tombras |
| author_facet | Christos K. Volos Lazaros Moysis George D. Roumelas Aggelos Giakoumis Hector E. Nistazakis George S. Tombras |
| author_sort | Christos K. Volos |
| collection | DOAJ |
| description | In this paper, a chaotic three dimansional dynamical system is proposed, that is a modification of the system in Volos et al. (2017). The new system has two hyperbolic sine nonlinear terms, as opposed to the original system that only included one, in order to optimize system’s chaotic behavior, which is confirmed by the calculation of the maximal Lyapunov exponents and Kaplan-Yorke dimension. The system is experimentally realized, using Bi-color LEDs to emulate the hyperbolic sine functions. An extended dynamical analysis is then performed, by computing numerically the system’s bifurcation and continuation diagrams, Lyapunov exponents and phase portraits, and comparing the numerical simulations with the circuit simulations. A series of interesting phenomena are unmasked, like period doubling route to chaos, coexisting attractors and antimonotonicity, which are all verified from the circuit realization of the system. Hence, the circuit setup accurately emulates the chaotic dynamics of the proposed system. |
| first_indexed | 2024-03-09T00:34:57Z |
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| institution | Directory Open Access Journal |
| issn | 2227-7080 |
| language | English |
| last_indexed | 2024-03-09T00:34:57Z |
| publishDate | 2021-02-01 |
| publisher | MDPI AG |
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| series | Technologies |
| spelling | doaj.art-d7455ad2e94040d8b0a9baa48d89c7d72023-12-11T18:14:25ZengMDPI AGTechnologies2227-70802021-02-01911510.3390/technologies9010015Circuit Implementation of a Modified Chaotic System with Hyperbolic Sine Nonlinearities Using Bi-Color LEDChristos K. Volos0Lazaros Moysis1George D. Roumelas2Aggelos Giakoumis3Hector E. Nistazakis4George S. Tombras5Laboratory of Nonlinear Systems, Circuits & Complexity (LaNSCom), Physics Department, Aristotle University of Thessaloniki, 54124 Thessaloniki, GreeceLaboratory of Nonlinear Systems, Circuits & Complexity (LaNSCom), Physics Department, Aristotle University of Thessaloniki, 54124 Thessaloniki, GreeceFaculty of Physics, Department of Electronics, Computers, Telecommunications and Control, National and Kapodistrian University, 15784 Athens, GreeceDepartment of Informatics & Electronics Engineering, International Hellenic University, 57400 Thessaloniki, GreeceFaculty of Physics, Department of Electronics, Computers, Telecommunications and Control, National and Kapodistrian University, 15784 Athens, GreeceFaculty of Physics, Department of Electronics, Computers, Telecommunications and Control, National and Kapodistrian University, 15784 Athens, GreeceIn this paper, a chaotic three dimansional dynamical system is proposed, that is a modification of the system in Volos et al. (2017). The new system has two hyperbolic sine nonlinear terms, as opposed to the original system that only included one, in order to optimize system’s chaotic behavior, which is confirmed by the calculation of the maximal Lyapunov exponents and Kaplan-Yorke dimension. The system is experimentally realized, using Bi-color LEDs to emulate the hyperbolic sine functions. An extended dynamical analysis is then performed, by computing numerically the system’s bifurcation and continuation diagrams, Lyapunov exponents and phase portraits, and comparing the numerical simulations with the circuit simulations. A series of interesting phenomena are unmasked, like period doubling route to chaos, coexisting attractors and antimonotonicity, which are all verified from the circuit realization of the system. Hence, the circuit setup accurately emulates the chaotic dynamics of the proposed system.https://www.mdpi.com/2227-7080/9/1/15Bi-color LEDnonlinear circuitchaosantimonotonicitycoexisting attractors |
| spellingShingle | Christos K. Volos Lazaros Moysis George D. Roumelas Aggelos Giakoumis Hector E. Nistazakis George S. Tombras Circuit Implementation of a Modified Chaotic System with Hyperbolic Sine Nonlinearities Using Bi-Color LED Technologies Bi-color LED nonlinear circuit chaos antimonotonicity coexisting attractors |
| title | Circuit Implementation of a Modified Chaotic System with Hyperbolic Sine Nonlinearities Using Bi-Color LED |
| title_full | Circuit Implementation of a Modified Chaotic System with Hyperbolic Sine Nonlinearities Using Bi-Color LED |
| title_fullStr | Circuit Implementation of a Modified Chaotic System with Hyperbolic Sine Nonlinearities Using Bi-Color LED |
| title_full_unstemmed | Circuit Implementation of a Modified Chaotic System with Hyperbolic Sine Nonlinearities Using Bi-Color LED |
| title_short | Circuit Implementation of a Modified Chaotic System with Hyperbolic Sine Nonlinearities Using Bi-Color LED |
| title_sort | circuit implementation of a modified chaotic system with hyperbolic sine nonlinearities using bi color led |
| topic | Bi-color LED nonlinear circuit chaos antimonotonicity coexisting attractors |
| url | https://www.mdpi.com/2227-7080/9/1/15 |
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